English

On gaps between zeros of the Riemann zeta function

Number Theory 2010-03-04 v1

Abstract

Assuming the Riemann Hypothesis, we show that infinitely often consecutive non-trivial zeros of the Riemann zeta-function differ by at least 2.7327 times the average spacing and infinitely often they differ by at most 0.5154 times the average spacing.

Keywords

Cite

@article{arxiv.1003.0752,
  title  = {On gaps between zeros of the Riemann zeta function},
  author = {Shaoji Feng and Xiaosheng Wu},
  journal= {arXiv preprint arXiv:1003.0752},
  year   = {2010}
}

Comments

submitted for publication in January 2010

R2 v1 2026-06-21T14:53:14.293Z